RE: what class?? info needed!!
The only thing I have a question on is the rear "Stabilizer" you mention. The hunter class (HC) is an obvious starting point, but it is only allowed a single stabilizer less than 12 " with the allowance for an additional "Vibration dampener" 2" or less. No weights, v-bars allowed with this dampener. Without seeing what you have I'm not sure of its legality, but in the worst case that would be the only change needed. (screw in points - right?)
The Hunter Class is a large class with several exceptional shooters at the top. It does fit with your equipment and experience. (35 yard max.)
Another possible choice would be MBR. No equipment changes, slightly smaller class, 45 yard max. The additional yardage acts as a little equalizer, but looking at your scrore average it appears you could handle the additional challenge.
I hope this helps, at least I reduced it to 2 choises. Which ever way you choose have fun.